Persons: Fomenko, Anatoly Timofeevich

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Fomenko, Anatoly Timofeevich

Statistics
in MathSciNet:	264 (238)
in zbMATH:	176 (158)
in Web of Science:	73 (60)
in Scopus:	88 (84)

Full member of the Russian Academy of Sciences

Professor

Doctor of physico-mathematical sciences (1973)

Speciality:

01.01.04 (Geometry and topology)

Birth date:

13.03.1945

E-mail:

Website:

http://dfgm.math.msu.su/people/fomenko/

Keywords:

minimal surfaces, Plateau problem, topology and geometry of Lie groups, homogeneous spaces, dynamical systems, integrable Hamiltonian equations, topological invariants of dynamical systems, computer geometry, topology of three-dimensional manifolds, Hamiltonian mechanics, symplectic geometry.

Subject:

In the theory of minimal surfaces was proved the multidimensional Plateau problem in the class of spectral bordisms of Riemannian manifolds. Then, as application of this general construction, was proved the global minimality of many well-known submanifolds in homogeneous Riemannian spaces of compact Lie groups. New scientific branch was developed, namely, the theory of topological classification of nondegenerate Hamiltonian differential equations (dynamical systems) of general type. New topological invariants, describing the topological type of singularities of dynamical systems, were discovered. As a result, was obtained the classification of integrable Hamiltonian systems with two degrees of freedom, up to Liouville equivalence and up to orbital equivalence (of topological and smooth type).

Biography

Graduated from Faculty of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (MSU) in 1967 (department of differential geometry). Ph. D. thesis was defended in 1970. D. Sci. thesis was defended in 1972. A list of my mathematical works contains more than 180 titles. A list of my books in mathematics contains 30 titles. Since 1980 I have led the research seminar "Modern Geometrical Methods" at MSU (Department of Mathematics and Mechanics).
Award of Moscow Mathematical Society, 1974. Award of the Presidium of Academy of Science, USSR, 1987. State Award of Russian Federation, 1996.

Main publications:

Fomenko A. T., “Periodichnost Botta s tochki zreniya mnogomernogo funktsionala Dirikhle”, Izv. AN SSSR. Ser. matem., 35:3 (1971), 667–681
Fomenko A. T., “Mnogomernaya zadacha Plato v rimanovykh mnogoobraziyakh”, Matem. sb., 89:3 (1972), 475–519
Mischenko A. S., Fomenko A. T., “Obobschennyi metod Liuvillya integrirovaniya gamiltonovykh sistem”, Funkts. analiz i ego prilozh., 12:2 (1978), 46–56
Fomenko A. T., “Teoriya Morsa integriruemykh gamiltonovykh sistem”, Dokl. AN SSSR, 287:5 (1986), 1071–1075
Fomenko A. T., “Simplekticheskaya topologiya vpolne integriruemykh gamiltonovykh sistem”, UMN, 44:1 (1989), 145–173

https://www.mathnet.ru/eng/person8368

List of publications on Google Scholar

https://zbmath.org/authors/ai:fomenko.anatolii-t

https://mathscinet.ams.org/mathscinet/MRAuthorID/190963

List of publications:

scientific publications

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2025
1.	G. V. Belozerov, A. T. Fomenko, “Orbital invariants of noncompact integrable systems with two degrees of freedom”, Moscow University Mathematics Bulletin, 80:2 (2025), 136–141
2.	G.V. Belozerov, A.T. Fomenko, “Skrytye simmetrii v gamiltonovoi geometrii, topologii, fizike i mekhanike”, Priroda, 2025, no. 1, 23–29

2024
3.	G. V. Belozerov, A. T. Fomenko, “Orbital invariants of billiards and linearly integrable geodesic flows”, Sb. Math., 215:5 (2024), 573–611
4.	G. V. Belozerov, A. T. Fomenko, “Generalized Jacobi–Chasles theorem in non-Euclidean spaces”, Sb. Math., 215:9 (2024), 1159–1181
5.	G. V. Belozerov, A. T. Fomenko, “Rotation functions of integrable billiards as orbital invariants”, Dokl. Math., 109:1 (2024), 1–5
6.	A. T. Fomenko, A. I. Shafarevich, V. A. Kibkalo, “Main recent directions and achievments of the Chair of Differential Geometry and Applications”, Moscow University Mathematics Bulletin, 79:6 (2024), 283–295
7.	A.T. Fomenko, G.V. Belozerov, “Traektorii sistem, raspoznavanie ekvivalentnosti, billiardy”, Mezhdunarodnaya konferentsiya «Matematika v sozvezdii nauk». K yubileyu rektora MGU akademika Viktora Antonovicha Sadovnichego. Tezisy dokladov (Moskva, 1-2 aprelya 2024 goda), Izdatelstvo Moskovskogo universiteta, Moskva, 2024, 37–39
8.	K.V. Shaitan, A.K. Shaitan, G.M. Kobelkov, A.T. Fomenko, M.P. Kirpichnikov, “Matematika v biologii - gde tochki rosta?”, Mezhdunarodnaya konferentsiya «Matematika v sozvezdii nauk». K yubileyu rektora MGU akademika Viktora Antonovicha Sadovnichego. Tezisy dokladov (Moskva, 1–2 aprelya 2024 g.), Izdatelstvo Moskovskogo universiteta, Moskva, 2024, 790–791 (to appear)
9.	S.V. Matveev, A.T. Fomenko, Algoritmicheskie i kompyuternye metody v trekhmernoi topologii, Trudy vydayuschikhsya uchenykh MGU, 2-e izdanie, ispravlennoe, Izdatelstvo Moskovskogo universiteta, Moskva, 2024 , 302 pp.

2023
10.	A.T. Fomenko, “Billiards of Variable Configuration and Billiards With Slipping in Hamiltonian Geometry and Topology”, Lobachevskii Journal of Mathematics, 44:10 (2023), 4512–4522
11.	A. T. Fomenko, V. V. Vedyushkina, “Billiards and integrable systems”, Russian Math. Surveys, 78:5 (2023), 881–954
12.	A.T. Fomenko, Variatsionnye metody v topologii, Trudy vydayuschikhsya uchenykh MGU, 2-e izdanie, ispravlennoe, Izd-vo Moskovskogo un-ta, Moskva, 2023 , 343 pp.

2022
13.	A. T. Fomenko, V. V. Vedyushkina, “Evolutionary force billiards”, Izv. Math., 86:5 (2022), 943–979
14.	A. T. Fomenko, “Billiardy peremennoi konfiguratsii v gamiltonovoi geometrii i topologii”, Mezhdunarodnaya konferentsiya “Lobachevskie chteniya”. Sbornik trudov. (Kazan, 30 iyunya - 4 iyulya 2022 g.), Trudy Matematicheskogo tsentra imeni N.I.Lobachevskogo, 62, Regionalnyi nauchno-obrazovatelnyi matematicheskii tsentr PFO, Kazan, 2022, 112–115
15.	A. T. Fomenko, V. A. Kibkalo, “Topology of Liouville foliations of integrable billiards on table-complexes”, European Journal of Mathematics, 8 (2022), 1392–1423	7 ^[x]

2021
16.	A.T. Fomenko, V.A. Kibkalo, “Saddle Singularities in Integrable Hamiltonian Systems: Examples and Algorithms”, Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics, Understanding Complex Systems, eds. Sadovnichiy V.A., Zgurovsky M.Z., Springer, 2021, 3-26	10 ^[x]
17.	Vedyushkina, V.V., Fomenko, A.T., “Force Evolutionary Billiards and Billiard Equivalence of the Euler and Lagrange Cases”, Dokl. Math., 103:1 (2021), 1-4
18.	A.T.Fomenko, V.V.Vedyushkina, V.N.Zav’yalov, “Liouville Foliations of Topological Billiards with Slipping”, Russian Journal of Mathematical Physics, 28:1 (2021), 37-55	23 ^[x]
19.	V. A. Kibkalo, A. T. Fomenko, I. S. Kharcheva, “Realizing integrable Hamiltonian systems by means of billiard books”, Trans. Moscow Math. Soc., 82 (2021), 37–64
20.	Fomenko, A.T., Vedyushkina, V.V., “Billiards with Changing Geometry and Their Connection with the Implementation of the Zhukovsky and Kovalevskaya Cases”, Russ. J. Math. Phys., 28 (2021), 317-332	10 ^[x]
21.	V. V. Vedyushkina, A. T. Fomenko, “Force evolutionary billiards and billiard equivalence of the Euler and Lagrange cases”, Dokl. Math., 103:1 (2021), 1–4

2020
22.	D. A. Fedoseev, A. T. Fomenko, “Noncompact Bifurcations of Integrable Dynamic Systems”, Journal of Mathematical Sciences, 248 (2020), 810–827	16 ^[x]
23.	V. V. Vedyushkina, V. A. Kibkalo, A. T. Fomenko, “Topological Modeling of Integrable Systems by Billiards: Realization of Numerical Invariants”, Doklady Mathematics, 102:1 (2020), 269–271

2019
24.	A. T. Fomenko, K. I. Solodskih, “Three-Dimensional Manifolds of Constant Energy and Invariants of Integrable Hamiltonian Systems”, Modern Mathematics and Mechanics. Fundamentals, Problems and Challenges, Understanding Complex Systems, eds. V. A. Sadovnichiy, M. Z. Zgurovsky, Springer, 2019, 13–30
25.	V. V. Vedyushkina (Fokicheva), A. T. Fomenko, “Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards”, Izv. Math., 83:6 (2019), 1137–1173
26.	A. T. Fomenko, V. V. Vedyushkina, “Billiards and integrability in geometry and physics. New scope and new potential”, Moscow University Mathematics Bulletin, 74:3 (2019), 98–107
27.	A. T. Fomenko, V. V. Vedyushkina, “Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: recent results”, Theor. Appl. Mech., 46:1 (2019), 47–63	6 ^[x]
28.	V. V. Vedyushkina, A. T. Fomenko, “Realizatsiya effektov sistem fiziki i mekhaniki integriruemymi billiardami”, Materialy konferentsii «Sovremennye problemy matematiki i mekhaniki», posvyaschennoi 80-letiyu akademika V.A.Sadovnichego (Moskva, 13–15 maya 2019 g.), MGU, 2019, 607–610
29.	A. T. Fomenko, “Billiards and Integrability”, Abstracts. International Conference on Finite Dimensional Integrable Systems in Geometry and Mathematical Physics (Shanghai, China, 2019, May 6–12), Shanghai Jiao Tong University, 2019, 11–13
30.	V. V. Vedyushkina, A. T. Fomenko, “Ponizhenie stepeni integralov gamiltonovykh sistem s pomoschyu billiardov”, Doklady Akademii nauk, 486:2 (2019), 151–155	6 ^[x]
31.	A. T. Fomenko and V. V. Vedyushkina, “Topological billiards, conservation laws and classification of trajectories”, Functional Analysis and Geometry: Selim Grigorievich Krein Centennial, Contemporary Mathematics, 733, eds. Peter Kuchment and Evgeny Semenov, American Mathematical Society, 2019, 129–148	4 ^[x]
32.	A. T. Fomenko, V. V. Vedyushkina, “Implementation of integrable systems by topological, geodesic billiards with potential and magnetic field”, Russian Journal of mathematical physics, 26:3 (2019), 320–333	23 ^[x]

2018
33.	V. V. Vedyushkina, A. T. Fomenko, “Nevypuklye topologicheskie billiardy kak modeli integriruemykh geodezicheskikh potokov na orientiruemykh poverkhnostyakh”, Materialy Mezhdunarodnoi Konferentsii «Voronezhskaya zimnyaya matematicheskaya shkola S.G. Kreina – 2018», izdatelsko-poligraficheskii tsentr «Nauchnaya kniga», Voronezh, 2018, 348–352
34.	V. V. Vedyushkina, A. T. Fomenko, I. S. Kharcheva, “Modeling nondegenerate bifurcations of closures of solutions for integrable systems with two degrees of freedom by integrable topological billiards”, Dokl. Math., 97:2 (2018), 174–176
35.	A. T. Fomenko, “Topological billiards and integrable Hamiltonian systems”, International Conference on Partial Differential Equations and Applications in Memory of Professor B.Yu.Sternin (Moskva, 6–9 noyabrya 2018), RUDN, 2018, 30–31

2017
36.	V. V. Vedyushkina (Fokicheva), A. T. Fomenko, “Integrable topological billiards and equivalent dynamical systems”, Izv. Math., 81:4 (2017), 688–733
37.	V. V. Vedyushkina, A. O. Ivanov, A .A. Tuzhilin, A. T. Fomenko, “Kompyuternye modeli v geometrii i dinamike”, Intellektualnye sistemy. Teoriya i prilozheniya, 20:1 (2017), 8 , 20 pp. http://intsysjournal.ru/articles/is2101/docklad_ffit.pdf
38.	V. V. Vedyushkina, A. O. Ivanov, A. A. Tuzhilin, A. T. Fomenko, Intelligent systems, 21:1 (2017), 164–191

2016
39.	A. T. Fomenko, V. V. Fokicheva, S. S. Nikolaenko, “Topologicheski ekvivalentnye sluchai integriruemosti v dinamike”, Materialy mezhdunarodnoi konferentsii «Voronezhskaya zimnyaya matematicheskaya shkola S. G. Kreina-2016», Izdatelsko-poligraficheskii tsentr «Nauchnaya kniga», Voronezh, 2016, 407–417
40.	A. T. Fomenko, “Topologicheskie billiardy s bogatymi simmetriyami modeliruyut vazhnye sluchai gamiltonovoi dinamiki v fizike i mekhanike”, Materialy mezhdunarodnoi konferentsii po algebre, analizu i geometrii (Kazan, 25 iyunya – 4 iyulya 2016 g.), Kazanskii federalnyi universitet, 2016, 35
41.	A. Fomenko, D. Fuchs, Homotopical Topology, Graduate Texts in Mathematics, 273, 2nd edition, Springer, 2016 , 627 pp.	29 ^[x]
42.	V. V. Fokicheva and A. T. Fomenko, “Billiard systems as the models for the rigid body dynamics”, Studies in Systems, Decision and Control, Advances in Dynamical Systems and Control, 69, eds. V. A. Sadovnichiy, M. Z. Zgurovsky, Springer International Publishing, 2016, 13–32	16 ^[x]

2020
43.	D. A. Fedoseev, A. T. Fomenko, “Noncompact bifurcations of integrable dynamic systems”, J. Math. Sci., 248:6 (2020), 810–827

2015
44.	A. T. Fomenko, V. V. Fokicheva, “Integrable billiards model important integrable cases of rigid body dynamics”, Doklady Mathematics, 92:3 (2015), 682–684
45.	A. T. Fomenko, S. S. Nikolaenko, “The Chaplygin case in dynamics of a rigid body in fluid is orbitally equivalent to the Euler case in rigid body dynamics and to the Jacobi problem about geodesics on the ellipsoid”, Journal of Geometry and Physics, 87 (2015), 115–133	21 ^[x]
46.	A. T. Fomenko, E. O. Kantonistova, “Topological Classification of Geodesic Flows on Revolution 2-Surfaces with Potential”, Continuous and Distributed Systems II. Theory and Applications, Studies in Systems, Decision and Control, 30, Springer, 2015, 11–17

2014
47.	A. T. Fomenko, A. Yu. Konyaev, “Algebra and Geometry Through Hamiltonian Systems”, Continuous and Distributed Systems. Theory and Applications, Solid Mechanics and Its Applications, 221, eds. V. Z. Zgurovsky, V. A. Sadovnichiy, Springer, 2014, 3–21	34 ^[x]
48.	V.V.Fokicheva, A.T.Fomenko, “Topologiya i osobennosti billiardov”, Materialy mezhdunarodnoi konferentsii “Voronezhskaya zimnyaya matematicheskaya shkola S.G.Kreina-2014”, izd-vo Voronezhskogo un-ta, Voronezh, 2014, 372–385
49.	A.T.Fomenko, “Topological classification of integrable systems and billiards in confocal quadrics”, Book of Abstracts. International Conference. 13th Serbian Mathematical Congress. (Vrnjacka Banja, Serbia, May 22–25, 2014), Mathematical Society of Serbia, Belgrade, Serbia, 2014, 82
50.	A.T.Fomenko, “Topology of Integrable Hamiltonian Systems - Recent Results”, Book of Abstracts. International Conference. 13th Serbian Mathematical Congress (Vrnjacka Banja, Serbia, May 22-25, 2014), Mathematical Society of Serbia, Belgrade, Serbia, 2014, 83
51.	A.T.Fomenko, “Topological classification of integrable systems and billiards in confocal quadrics”, Book of Abstracts. XVIII Geometrical Seminar (Vrnjacka Banja, Serbia, May 25-28, 2014), Faculty of Sciences and Mathematics, University of Nis, Serbia, 2014, 38–39
52.	V. A. Sadovnichii , V. N. Chubarikov, V. I. Gavrilov, T. P. Lukashenko, A. T. Fomenko, I. Kh. Sabitov, A. K. Rybnikov, “Pamyati Leonida Evgenevicha Evtushika (25.05. 1931 - 16.02.2013)”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 2014, no. 5, 69–70

2013
53.	A.T.Fomenko, E.A.Kudryavtseva, “Each finite group is a symmetry group of some map (an "atom"-bifurcation)”, Moscow Univ. Math. Bull., 68:3 (2013), 148–155

2012
54.	O.A.Zagryadskii, E.A.Kudryavtseva, D.A.Fedoseev, A.T.Fomenko, “Gamiltonovy sistemy i dvizheniya planet s zamknutymi orbitami”, Materialy mezhdunarodnoi konferentsii. Voronezhskaya zimnyaya matematicheskaya shkola S.G.Kreina - 2012, Izdanie Voronezhskogo gos.universiteta, 2012, 68
55.	A.T.Fomenko, A.Yu.Konyaev, “New approach to symmetries and singularities in integrable Hamiltonian systems”, Topology and its Applications, 159 (2012), 1964–1975	48 ^[x]
56.	A.T.Fomenko, A.Yu.Konyaev, “New approach to symmetries and singularities in integrable Hamiltonian systems”, Topology and its Applications, 159 (2012), 1964–1975	48 ^[x]
57.	E.A.Kudryavtseva, A.T.Fomenko, “Gruppy simmetrii pravilnykh funktsii Morsa na poverkhnostyakh”, Doklady RAN, seriya: matematika, 446:6 (2012), 615–617
58.	A.T.Fomenko, “Hidden Symmetries in Integrable Hamiltonian Systems”, Progress in Analysis. Proceedings of the 8th Congress of the International Society for Analysis, its Applications, and Computation, Volume 1, Peoples' Friendship University of Russia, Moscow, 2012, 26–41

2011
59.	A. T. Fomenko, “Hidden symmetries in integrable dynamical systems”, Abstracts. 8th International ISAAC Congress (Moscow, August 22-27, 2011), Peoples' Friendship University of Russia, Moscow, 2011, 36
60.	A.T.Fomenko, “Geometricheskoe postroenie reshenii neavtonomnogo uravneniya X'(t) = K(t)X(t) dlya klassicheskikh trekhmernykh algebr Li”, Trudy seminara po vektornomu i tenzornomu analizu, izd-vo MGU, Moskva, 2011, 173–230

2010
61.	Fomenko A.T., “Singularities and bifurcations of integrable Hamiltonian Systems”, Abstracts of 2010 International Conference on Topolody and its Applications (June 26–30 Nafpaktos, Greece), 2010, 98–99
62.	Ivanov A.O., Ilyutko D.P., Nosovskii G.V., Tuzhilin A.A., Fomenko A.T., Kompyuternaya geometriya: praktikum, Osnovy informatiki i matematiki, Izd-vo Internet-Universiteta Informatsionnykh Tekhnologii, Moskva, 2010
63.	Mischenko A.S., Fomenko A.T., Kurs differentsialnoi geometrii i topologii, izdanie trete, pererabotannoe i dopolnennoe, Izd-vo Lan, Sankt-Peterburg, Moskva, Krasnodar, 2010

2009
64.	Fomenko A.T., Mishchenko A.S., A short course in differential geometry and topology, Cambridge Scientific Pub., Cambridge, UK, 2009 , xi+273 pp.
65.	Kudryavtseva E.A., Nikonov I.M., Fomenko A.T. , “Simmetrichnye i neprivodimye abstraktnye mnogogranniki”, Matematika. Vypusk 2. Geometriya i topologiya, Sovremennye problemy matematiki i mekhaniki, Moskovskii gosudarstvennyi universitet im. M. V. Lomonosova, Moskva, 2009, 58–97

2011
66.	A. O. Ivanov, A. A. Tuzhilin, A. T. Fomenko, “Computer modeling of curves and surfaces”, J. Math. Sci., 172:5 (2011), 663–689

2008
67.	E. A. Kudryavtseva, I. M. Nikonov, A. T. Fomenko, “Maximally symmetric cell decompositions of surfaces and their coverings”, Sb. Math., 199:9 (2008), 1263–1353
68.	Fomenko A.T., Shnurnikov I.N., “Retragiruemye spainy s odnoi dvumernoi kletkoi”, Tezisy dokladov. Voronezhskaya zimnyaya matematicheskaya shkola S. G. Kreina - 2008, Voronezhskii gos. un-t, Voronezh, 2008, 140–141
69.	Kudryavtseva E.A., Nikonov I.M., Fomenko A.T., “Maksimalno simmetrichnye kletochnye razbieniya poverkhnostei i ikh nakrytiya”, Mezhdunarodnaya konferentsiya “Differentsialnye uravneniya i topologiya”, posvyaschennaya 100-letiyu so dnya rozhdeniya Lva Semenovicha Pontryagina, Tezisy dokladov (Moskva, 17–22 iyunya 2008), Matematicheskii in-t im. V. A. Steklova RAN, Moskovskii gosudarstvennyi universitet im. M. V. Lomonosova, 2008, 471

2006
70.	Fomenko A.T., Korotkevich A.A., “Novye serii integriruemykh sistem na algebrakh Li”, Voronezhskaya zimnyaya Matematicheskaya shkola S. G. Kreina. Tezisy dokladov, Voronezhskii gos. un-t, Voronezh, 2006, 102
71.	Kalashnikov V.V., Nosovskii G.V., Fomenko A.T., Zvezdy. (Astronomicheskie metody v khronologii. Almagest Ptolemeya. Ptolemei. Tikho Brage. Kopernik. Egipetskie zodiaki), v. 1, Izd-vo RIMIS, Moskva, 2006
72.	Nosovskii G.V., Fomenko A.T., Fomenko T.N., Zvezdy. (Astronomicheskie metody v khronologii. Almagest Ptolemeya. Ptolemei. Tikho Brage. Kopernik. Egipetskie zodiaki), v. 2, Izd-vo RIMIS, Moskva, 2006
73.	Fomenko A.T., “Topology and geometry of integrable Hamiltonian systems on Lie algebras. New development”, International Conference on Topology and its Applications (June 23–26, 2006), Abstracts, Municipal Library of Aegon, Aegion, Greece, 2006, 68–69
74.	Bolsinov A.V., Fomenko A.T., Oshemkov A.A., Topological methods in the theory of integrable Hamiltonian systems, Cambridge Scientific Publishers, 2006
75.	Fomenko A.T., Fomenko T.N., “O topologicheskikh rabotakh A. N. Tikhonova. (K 100-letiyu so dnya rozhdeniya)”, Akademik Andrei Nikolaevich Tikhonov. K 100-letiyu so dnya rozhdeniya, Izd-vo MAKS-PRESS, Moskva, 2006, 109–115
76.	Golovanov N.N., Ilyutko D.P., Nosovskii G.V., Fomenko A.T., Kompyuternaya geometriya, Prikladnaya matematika i informatika, Izdatelskii tsentr “Akademiya”, Moskva, 2006

2004
77.	Fomenko A.T., Morozov P.V., “Some new results in topological classification of integrable systems in rigid body dynamics”, Contemporary geometry and related topics, World Sci. Publ., River Edge, NJ, 2004, 201–222	7 ^[x]
78.	Bolsinov A.V., Fomenko A.T., Integrable Hamiltonian systems, Geometry, topology, classification, Chapman & Hall/CRC, Boca Raton, FL, 2004 , xvi+730 pp.
79.	Koschug D.G., Solovev Yu.P., Fomenko A.T., “Elektronnyi paramagnitnyi rezonans i matematicheskie modeli datirovaniya ostyvayuschikh prirodnykh sistem”, Trudy seminara “Vremya, khaos i matematicheskie modeli”, 3, ed. V. A. Sadovnichii, In-t matematicheskikh issledovanii slozhnykh sistem MGU, Moskva, 2004, 37–64
80.	Mischenko A.S., Fomenko A.T., Kratkii kurs differentsialnoi geometrii i topologii, Klassicheskii universitetskii uchebnik, Fiziko-matematicheskaya literatura, MAIK “Nauka/Interperiodika”, Moskva, 2004 , 300 pp.
81.	Mischenko A.S., Solovev Yu.P., Fomenko A.T., Sbornik zadach po differentsialnoi geometrii i topologii, pererabotannoe i dopolnennoe izdanie, Fizmatlit, Moskva, 2004
82.	Bokan N., Djoric M., Fomenko A.T., Rakic Z., Weiss J. (Eds.), Proceedings of the Workshop “Contemporary Geometry and Related Topics” (Belgrade, Yugoslavia, 15–21 May 2002), World Scientific Publishing Co., 2004

2003
83.	P. V. Morozov, A. T. Fomenko, “New results on topological classification of integrable systems in the mechanics of rigid body”, Tr. Geom. Semin., 24, Kazan Mathematical Society, Kazan, 2003, 107–120
84.	Solovev Yu.P., Fomenko A.T., “Mekhaniko-matematicheskomu fakultetu MGU ispolnyaetsya semdesyat let”, Vestnik Moskovskogo Universiteta, 2003, no. 3, 3–12
85.	Fomenko A.T., Hayat-Legrand C., Shafarevich A.I., “Topology of low-dimensional manifolds and geometry of Hamiltonian systems with applications to physics and mechanics”, French-Russian A. M. Liapunov Institute for Applied Mathematics and Computer Science. Transactions, 4, MGU, Moskva, 2003, 190–199
86.	Fomenko A.T., Ivanov A.A., Tuzhilin A.A., “Visual Topology and Variational Problems on Two-Dimensional Surfaces”, Mathematics and Culture. II. Visual Parfection: Mathematics and Creativity, ed. Michele Emmere, Springer Verlag, 2003, 99–123

2002
87.	Brailov Yury A., Fomenko Anatoly T., “Lie groups and integrable Hamiltonian systems”, Recent advances in Lie theory (Vigo, 2000), Res. Exp. Math., 25, Heldermann, Lemgo, 2002, 45–76
88.	V. V. Trofimov, A. T. Fomenko, “Riemannian geometry”, J. Math. Sci. (New York), 109:2 (2002), 1345–1501
89.	Fomenko A.T., Nosovskii G.V., “O “novgorodskikh datirovkakh” A. A. Zaliznyaka i V. L. Yanina”, Vestnik Rossiiskoi Akademii nauk, 72:2 (2002), 134–140

2001
90.	Fomenko A.T., Matematika i mif skvoz prizmu geometrii, Izd-vo Mosk. un-ta, M., 2001
91.	Mischenko A.S., Solovev Yu.P., Fomenko A.T., Sbornik zadach po differentsialnoi geometrii i topologii, Fizmatlit, M., 2001

2000
92.	Bolsinov A.V., Fomenko A.T., Integrable geodesic flows on two-dimensional surfaces, Monographs in Contemporary Mathematics, Consultants Bureau, New York, 2000 , xiv+322 pp.
93.	Fomenko A., “Minimal surfaces”, Quantum, 10:5 (2000), 4–7
94.	A. V. Bolsinov, P. H. Richter, A. T. Fomenko, “The method of loop molecules and the topology of the Kovalevskaya top”, Sb. Math., 191:2 (2000), 151–188
95.	Mischenko A.S., Fomenko A.T., Kurs differentsialnoi geometrii i topologii, izdanie 2-e, dopolnennoe i pererabotannoe, Izd-vo Faktorial Press, Moskva, 2000
96.	Kalashnikov V.V., Nosovskii G.V., Fomenko A.T., Astronomicheskii analiz khronologii. Almagest. Zodiaki, Finansovyi izdatelskii dom “Delovoi ekspress”, Moskva, 2000
97.	Fomenko A.T., Nosovskii G.V., “Demagogicheskie rassuzhdeniya vmesto nauchnogo analiza”, Vestnik RAN, 9:9 (2000), 797–800

1999
98.	Bolsinov A.V., Fomenko A.T., Geometriya i topologiya integriruemykh geodezicheskikh potokov na poverkhnostyakh, v. 2, Biblioteka R&C Dynamics. Regulyarnaya i khaoticheskaya dinamika, URSS, Moskva, 1999
99.	Bolsinov A.V., Fomenko A.T., Integriruemye gamiltonovy sistemy. Geometriya. Topologiya. Klassifikatsiya, v. 1, 2, Izdatelskii dom “Udmurtskii universitet”, Izhevsk, 1999 , 1: 444 c.; 2: 447 pp.
100.	Fomenko A.T., “Three-dimensional visualization of multidimensional topological objects”, International Journal of Shape Modeling, 5:1 (1999), 39–54	1 ^[x]
101.	Fomenko A.T., Metody statisticheskogo analiza istoricheskikh tekstov. Prilozheniya k khronologii, v. 1, 2, Izd-vo Kraft+Lean, Moskva, 1999
102.	Kellin N.S., Nosovskii G.V., Fomenko A.T., “Vopros o podlinnosti “Drevnei Rosskiiskoi istorii” M. V. Lomonosova. Lomonosov ili Miller?”, Vestnik Moskovskogo Universiteta. Seriya 9: Filologiya, 1999, no. 1, 116–125
103.	Fomenko A.T., Differentsialnaya geometriya i topologiya. Dopolnitelnye glavy, v. 3, Biblioteka “Matematika”, izdanie 2-e, ispravlennoe i dopolnennoe, Regulyarnaya i khaoticheskaya dinamika, Izhevsk, 1999

1998
104.	Bolsinov A.V., Fomenko A.T., “Orbital isomorphism between two classical integrable systems. The Euler case and the Jacobi problem”, Lie groups and Lie algebras, Math. Appl., 433, Kluwer Acad. Publ., Dordrecht, 1998, 359–382
105.	A. V. Bolsinov, V. S. Matveev, A. T. Fomenko, “Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry”, Sb. Math., 189:10 (1998), 1441–1466
106.	Bolsinov A.V., Fomenko A.T., “Nekotorye aktualnye nereshennye zadachi po topologii integriruemykh gamiltonovykh sistem”, Topologicheskie metody v teorii gamiltonovykh sistem, izd-vo Faktorial, Moskva, 1998, 5–23
107.	Bolsinov A.V., Fomenko A.T., Matveev V.S., Riemannian metrics with integrable geodesic flows on surfaces: local and global geometry, Preprint series (120), Max-Planck-Institut für Mathematik, 1998 , 42 pp.
108.	Matveev S.V., Fomenko A.T., Algoritmicheskie i kompyuternye metody v trekhmernoi topologii, vtoroe izdanie, pererabotannoe i dopolnennoe, Izd-vo Nauka, M., 1998
109.	Fomenko A.T., Naglyadnaya geometriya i topologiya. Matematicheskie obrazy v realnom mire, vtoroe izdanie, pererabotannoe i dopolnennoe, Izd-vo MGU, M., 1998

1997
110.	A. V. Bolsinov, A. T. Fomenko, “On the dimension of the space of integrable Hamiltonian systems with two degrees of freedom”, Proc. Steklov Inst. Math., 216 (1997), 38–62
111.	Fomenko A.T., Matveev S.V., Algorithmic and computer methods for three-manifolds, Mathematics and its Applications, 425, Kluwer Academic Publishers, Dordrecht, 1997 , xii+334 pp.
112.	Fomenko A.T., Kunii T.L., Topological modeling for visualization, Springer-Verlag, Tokyo, 1997 , x+395 pp.
113.	Bolsinov A.V., Fomenko A.T., Vvedenie v topologiyu integriruemykh gamiltonovykh sistem, Nauka, M., 1997 , 352 pp.

1999
114.	J. Math. Sci. (New York), 94:4 (1999), 1512–1557
115.	J. Math. Sci. (New York), 94:4 (1999), 1457–1476

1996
116.	Bolsinov A.V., Fomenko A.T., “Application of classification theory for integrable Hamiltonian systems to geodesic flows on $2$-sphere and $2$-torus and to the description of the topological structure of momentum mapping near singular points”, Dynamical systems, 1, J. Math. Sci., 78:5 (1996), 542–555	6 ^[x]
117.	Fomenko A.T., Metody matematicheskogo analiza istoricheskikh tekstov. Prilozheniya k khronologii, Nauka, M., 1996 , 478 pp. ; Fomenko A.T., Statistichka Khronologija. Matematichki pogled na istoriju. U kom smo veku?, Beograd, Yugoslaviya, 1997
118.	Nosovskii G.V., Fomenko A.T., “Matematiko-statisticheskie modeli raspredeleniya informatsii v istoricheskikh khronikakh”, Matematicheskie voprosy kibernetiki, 6, Nauka, fizmatlit, M., 1996, 71–116

1995
119.	Fomenko A.T., Symplectic geometry, Advanced Studies in Contemporary Mathematics, 5, Ed. 2, Gordon and Breach Publishers, Luxembourg, 1995 , xvi+467 pp.
120.	Bolsinov A.V., Fomenko A.T., Zhang Xingru, “The strong, semi-strong, and quasi-semi-strong bordism groups of integrable Hamiltonian systems of differential equations with two degrees of freedom”, Russian J. Math. Phys., 3:4 (1995), 423–452
121.	A. V. Bolsinov, A. T. Fomenko, “Orbital Classification of Geodesic Flows on Two-Dimensional Ellipsoids. The Jacobi Problem is Orbitally Equivalent to the Integrable Euler Case in Rigid Body Dynamics”, Funct. Anal. Appl., 29:3 (1995), 149–160
122.	A. V. Bolsinov, V. V. Kozlov, A. T. Fomenko, “The Maupertuis principle and geodesic flows on the sphere arising from integrable cases in the dynamics of a rigid body”, Russian Math. Surveys, 50:3 (1995), 473–501
123.	A. V. Bolsinov, A. T. Fomenko, “A criterion for the topological conjugacy of Hamiltonian flows on two-dimensional compact surfaces”, Russian Math. Surveys, 50:1 (1995), 193–194
124.	A. V. Bolsinov, A. T. Fomenko, “Orbital invariants of integrable Hamiltonian systems. The case of simple systems. Orbital classification of systems of Euler type in rigid body dynamics”, Izv. Math., 59:1 (1995), 63–100
125.	Kalashnikov V.V., Nosovskii G.V., Fomenko A.T., Datirovka zvezdnogo kataloga “Almagesta”. Statisticheskii i geometricheskii analiz, Izd-vo Faktorial, M., 1995
126.	Trofimov V.V., Fomenko A.T., Algebra i geometriya integriruemykh gamiltonovykh sistem differentsialnykh uravnenii, Izd-vo Faktorial, M.; iz-vo Udmurtskogo gos. un-ta “Prosperus”, 1995 , 448 pp.
127.	Fomenko A.T., “Giperbolicheskaya i kompyuternaya geometriya”, Doklad, prochitannyi na zasedanii Uchenogo Soveta MGU 26 aprelya 1994 g., Moskovskii Universitet-94, Izd-vo MGU, MALP, Moskva, 1995, 167–180
128.	A. V. Bolsinov, A. T. Fomenko, “Unsolved problems in the theory of topological classification of integrable systems”, Proc. Steklov Inst. Math., 205 (1995), 17–27

1994
129.	Kalashnikov V.V., Nosovskii G.V., Fomenko A.T., “Geometricheskie statisticheskie i tochnostnye svoistva zvezdnogo kataloga «Almagesta» i ego chastei: Datirovka po sobstvennym dvizheniyam zvezd”, Na rubezhakh poznaniya vselennoi. 1992, Istoriko-astronomicheskie issledovaniya, 24, Yanus, M., 1994, 142–163

1995
130.	Bolsinov A.V., Fomenko A.T., “The geodesic flow of an ellipsoid is orbitally equivalent to the Euler integrable case in the dynamics of a rigid body”, Russian Acad. Sci. Dokl. Math., 50:3 (1995), 412–417

1994
131.	Chacon R.V., Fomenko A.T., “Geometrical integration of the connection equation $X'=XK$ for $\mathrm{so}(3)$, ${\rm su}(2)$, $e(2)$, $\mathrm{sl}(2,\mathbf R)$ and $\mathrm{sl}(2,\mathbf R)^+$”, C. R. Math. Rep. Acad. Sci. Canada, 16:4 (1994), 113–148
132.	Fomenko A., Visual geometry and topology, Springer-Verlag, Berlin, 1994 , xvi+324 pp.
133.	A. V. Bolsinov, A. T. Fomenko, “Integrable geodesic flows on the sphere, generated by Goryachev–Chaplygin and Kowalewski systems in the dynamics of a rigid body”, Math. Notes, 56:2 (1994), 859–861

1995
134.	A. V. Bolsinov, A. T. Fomenko, “Orbital equivalence of integrable Hamiltonian systems with two degrees of freedom. A classification theorem. II”, Russian Acad. Sci. Sb. Math., 82:1 (1995), 21–63
135.	A. V. Bolsinov, A. T. Fomenko, “Orbital equivalence of integrable Hamiltonian systems with two degrees of freedom. A classification theorem. I”, Russian Acad. Sci. Sb. Math., 81:2 (1995), 421–465

1994
136.	A. T. Fomenko, “Preface”, New results in the theory of topological classification of integrable systems, Trudy Mat. Inst. Steklov., 205, Nauka, Moscow, 1994, 3
137.	Fomenko A.T., Empirico-Statistical Analysis of Narrative Material and its Applications to Historical Dating. Volume 1: The Development of the Statistical Tools, Volume 2: The Analysis of Ancient and Medieval Records, Kluwer Academic Publishers, The Netherlands, 1994
138.	Fomenko A.T., “Computers and visualization in hyperbolic three-dimensional geometry and topology: some open problems”, International Journal of Shape Modeling, 1:1 (1994), 41–62
139.	Nosovskii G.V., Fomenko A.T., “Statisticheskie issledovaniya sobytiinykh i biograficheskikh parallelei na materiale angliiskoi khronologii i istorii”, Semiotika i informatika, 34, VINITI, M., 1994, 205–233

1995
140.	A. V. Bolsinov, A. T. Fomenko, X. Zhang, “Three types bordisms of integrable systems with two degrees of freedom. Computation of bordism groups”, Proc. Steklov Inst. Math., 205 (1995), 29–62

1993
141.	Fomenko A.T., “Linear-quadratic metrics “approximate” any nondegenerate, integrable Riemannian metric on the $2$-sphere and the $2$-torus”, Integrable systems (Luminy, 1991), Progr. Math., 115, Birkhäuser Boston, Boston, MA, 1993, 235–237

1994
142.	Bolsinov A.V., Fomenko A.T., “Orbital classification of simple integrable Hamiltonian systems on three- dimensional constant-energy surfaces”, Russian Acad. Sci. Dokl. Math., 48:2 (1994), 365–369

1993
143.	Fomenko A.T., “Rough classification of integrable Hamiltonians on four-dimensional symplectic manifolds”, From Topology to Computation: Proceedings of the Smalefest (Berkeley, CA, 1990), Springer, New York, 1993, 561–586
144.	Fomenko A.T., “Minimization of length, area, and volume. Some solved and some unsolved problems in the theory of minimal graphs and surfaces”, Minimal surfaces, Adv. Soviet Math., 15, Amer. Math. Soc., Providence, RI, 1993, 1–13
145.	Fomenko A.T., Goldberg V.V., Kirichenko V.F., Ryzhkov V.V., Shelekhov A.M., “Maks Aizikovich Akivis”, Webs & quasigroups, Tver. Gos. Univ., Tver', 1993, 4–8
146.	A. V. Bolsinov, A. T. Fomenko, “Trajectory classification of integrable systems of Euler type in the dynamics of a rigid body”, Russian Math. Surveys, 48:5 (1993), 165–166
147.	Fomenko A.T., Naglyadnaya geometriya i topologiya. Matematicheskie obrazy v realnom mire, izd-vo MGU, M., 1993; Fomenko A., Visual Geometry and Topology, Springer Verlag, 1994
148.	Fomenko A.T., Kalashnikov V.V., Nosovsky G.V., Geometrical and Statistical Methods of Analysis of Star Configurations. Dating Ptolemy's Almagest, CRC Press, USA, 1993
149.	Bolsinov A.V., Trofimov V.V., Fomenko A.T., “Nereshennye problemy v teorii topologicheskoi klassifikatsii integriruemykh gamiltonovykh sistem”, Trudy seminara po vektornomu i tenzornomu analizu, 25, no. 1, izd-vo MGU, M., 1993, 6–17
150.	Fomenko A.T., Globalnaya khronologiya. (Issledovaniya po istorii drevnego mira i srednikh vekov. Matematicheskie metody analiza istochnikov. Globalnaya khronologiya), izd-vo mekhaniko-matematicheskogo f-ta MGU, Moskva, 1993
151.	Fomenko A.T., Kritika traditsionnoi khronologii antichnosti i srednevekovya. (Kakoi seichas vek?), izd-vo mekhaniko-matematicheskogo f-ta MGU, Moskva, 1993

1992
152.	Fomenko A.T., “Computer geometry and topological classification of integrable Hamiltonian differential equations: visualization of concrete physical examples”, Modern geometric computing for visualization (Tokyo, 1992), Springer, Tokyo, 1992, 3–10
153.	Fomenko A.T., Kalashnikov V.V., Nosovsky G.V., “The dating of Ptolemy's Almagest based on the coverings of the stars and on lunar eclipses”, Acta Appl. Math., 29:3 (1992), 281–298	2 ^[x]
154.	Nosovskiĭ G.V., Fomenko A.T., “Identifying duplicates in chronological lists (the method of frequency histograms for the spread of related names)”, Stability problems for stochastic models, J. Soviet Math., 59:4 (1992), 980–991
155.	Dubrovin B.A., Fomenko A.T., Novikov S.P., Modern geometry—methods and applications. Part I. The geometry of surfaces, transformation groups, and fields, Graduate Texts in Mathematics, 93, Ed. 2, Springer-Verlag, New York, 1992 , xvi+468 pp.	115 ^[x]

1991
156.	Ivanov A.O., Trofimov V.V., Tuzhilin A.A., Fomenko A.T., “Kompyuternye vychisleniya v geometricheskikh zadachakh SAPR”, Trudy seminara po vektornomu i tenzornomu analizu, 24, 1991, 70–80
157.	Fomenko A.T., “Theory of rough classification of integrable nondegenerate Hamiltonian differential equations on four-dimensional manifolds. Application to classical mechanics”, Topological classification of integrable systems, Adv. Soviet Math., 6, Amer. Math. Soc., Providence, RI, 1991, 305–345
158.	Fomenko A. T., Nguyen T. Z., “Topological classification of integrable nondegenerate Hamiltonians on the isoenergy three-dimensional sphere”, Topological classification of integrable systems, Adv. Soviet Math., 6, Amer. Math. Soc., Providence, RI, 1991, 267–296
159.	Fomenko A.T., “The theory of invariants of multidimensional integrable Hamiltonian systems (with arbitrary [arbitrarily] many degrees of freedom). Molecular table of all integrable systems with two degrees of freedom”, Topological classification of integrable systems, Adv. Soviet Math., 6, Amer. Math. Soc., Providence, RI, 1991, 1–35
160.	Fomenko A.T., Tuzhilin A.A., Elements of the geometry and topology of minimal surfaces in three-dimensional space, Translations of Mathematical Monographs, 93, American Mathematical Society, Providence, RI, 1991 , viii+142 pp.
161.	Fomenko A. T., “Topological classification of all integrable Hamiltonian differential equations of general type with two degrees of freedom”, The geometry of Hamiltonian systems (Berkeley, CA, 1989), Math. Sci. Res. Inst. Publ., 22, Springer, New York, 1991, 131–339	23 ^[x]
162.	Chacon R.V., Fomenko A.T., “Stokes' formula for Lie algebra valued connection and curvature forms”, Adv. Math., 88:2 (1991), 258–300	6 ^[x]
163.	Chacon R.V., Fomenko A.T., “Recursion formulas for the Lie integral”, Adv. Math., 88:2 (1991), 200–257	11 ^[x]
164.	Fomenko A.T., “A new topological invariant of topological Hamiltonian systems of differential equations and applications to problems in physics and mechanics”, Mechanics, analysis and geometry: 200 years after Lagrange, North-Holland Delta Ser., North-Holland, Amsterdam, 1991, 127–155
165.	Ðào Trọng Thi, Fomenko A.T., Minimal surfaces, stratified multivarifolds, and the Plateau problem, Translations of Mathematical Monographs, 84, American Mathematical Society, Providence, RI, 1991 , x+404 pp.	3 ^[x]
166.	A. T. Fomenko, “A topological invariant which roughly classifies integrable strictly nondegenerate Hamiltonians on four-dimensional symplectic manifolds”, Funct. Anal. Appl., 25:4 (1991), 262–272

1992
167.	A. T. Fomenko, “A bordism theory for integrable nondegenerate Hamiltonian systems with two degrees of freedom. A new topological invariant of higher-dimensional integrable systems”, Math. USSR-Izv., 39:1 (1992), 731–759

1991
168.	Tuzhilin A.A., Fomenko A.T., Elementy geometrii i topologii minimalnykh poverkhnostei, izd-vo Nauka, Moskva, 1991 , 175 pp.
169.	Matveev S.V., Fomenko A.T., Algoritmicheskie i kompyuternye metody v trekhmernoi topologii, izd-vo MGU, M., 1991 , 303 pp. ; Fomenko A.T., Matveev S.V., Algorithmical and computer methods in three-manifolds, Kluwer Academic Publishers, The Netherlands, 1997

1990
170.	Fomenko A. T., Kalashnikov V. V., Nosovskiĭ G. V., “Statistical analysis and dating of the observations on which Ptolemy's Almagest star catalogue is based”, Probability theory and mathematical statistics (Vilnius, 1989), v. I, “Mokslas”, Vilnius, 1990, 360–374
171.	Novikov S.P., Fomenko A.T., Basic elements of differential geometry and topology, Mathematics and its Applications (Soviet Series), 60, Kluwer Academic Publishers Group, Dordrecht, 1990 , x+490 pp.	12 ^[x]
172.	Fomenko A.T., Mathematical impressions, With writing assistance and a preface by Richard Lipkin, American Mathematical Society, Providence, RI, 1990 , 184 pp.
173.	Fomenko A.T., Sharko V.V., “Exact round Morse functions, inequalities of Morse type and integrals of Hamiltonian systems [in Global analysis and nonlinear equations (Russian), 92–107, Voronezh. Gos. Univ., Voronezh, 1988]”, Global analysis—studies and applications, IV, Lecture Notes in Math., 1453, Springer, Berlin, 1990, 51–67	1 ^[x]
174.	Fomenko A.T., “List of all integrable Hamiltonian systems of general type with two degrees of freedom. “Physical zone” in this table”, Integrable and superintegrable systems, World Sci. Publ., Teaneck, NJ, 1990, 134–164	1 ^[x]
175.	Fomenko A.T., Variational problems in topology, The geometry of length, area and volume, Gordon and Breach Science Publishers, New York, 1990 , x+225 pp.

1991
176.	Kalashnikov V.V., Nosovskij G.V., Fomenko A.T., “Statistical analysis of the star catalogue “Almagest”.”, Soviet Math. Dokl., 42:1 (1991), 168–173

1990
177.	Dubrovin B.A., Fomenko A.T., Novikov S.P., Modern geometry—methods and applications. Part III. Introduction to homology theory, Graduate Texts in Mathematics, 124, Springer-Verlag, New York, 1990 , x+416 pp.	47 ^[x]
178.	Fomenko A.T., Variational principles of topology, Multidimensional minimal surface theory, Mathematics and its Applications (Soviet Series), 42, Kluwer Academic Publishers Group, Dordrecht, 1990 , xviii+374 pp.
179.	Fomenko A.T., The Plateau problem. Part II, v. 1, Studies in the Development of Modern Mathematics, The present state of the theory, Gordon and Breach Science Publishers, New York, 1990 , xii+251 pp.
180.	Fomenko A.T., The Plateau problem. Part I, v. 1, Studies in the Development of Modern Mathematics, Historical survey, Gordon and Breach Science Publishers, New York, 1990 , xii+220 pp.
181.	Nguyen Tien Zung, A. T. Fomenko, “Topological classification of integrable non-degenerate Hamiltonians on a constant energy three-dimensional sphere”, Russian Math. Surveys, 45:6 (1990), 109–135

1991
182.	A. T. Fomenko, H. Zieschang, “A topological invariant and a criterion for the equivalence of integrable Hamiltonian systems with two degrees of freedom”, Math. USSR-Izv., 36:3 (1991), 567–596

1990
183.	A. V. Bolsinov, S. V. Matveev, A. T. Fomenko, “Topological classification of integrable Hamiltonian systems with two degrees of freedom. List of systems of small complexity”, Russian Math. Surveys, 45:2 (1990), 59–94
184.	A. T. Fomenko, R. V. Chakon, “Recursion relations for homogeneous terms of a convergent series of the logarithm of a multiplicative integral on Lie groups”, Funct. Anal. Appl., 24:1 (1990), 41–49
185.	Kalashnikov V.V., Nosovskii G.V., Fomenko A.T., “Zvezdnyi katalog Ptolemeya datiruet matematika”, Gipotezy, prognozy. Buduschee nauki, Mezhdunarodnyi ezhegodnik, 23, izd-vo Znanie, M., 1990, 78–92
186.	Fomenko A.T., “Statisticheskaya khronologiya”, Matematika. Kibernetika. Novoe v zhizni, nauke, tekhnike, 7, Izd-vo “Znanie”, M., 1990, 1–45
187.	Fomenko A.T., Rachev S.T., “Volume functions of historical texts and the amplitude correlation principle”, Computers and the Humanities, 24 (1990), 187–206	2 ^[x]
188.	Fomenko A.T., Metody statisticheskogo analiza narrativnykh tekstov i prilozheniya k khronologii. (Raspoznavanie i datirovka zavisimykh tekstov, statisticheskaya drevnyaya khronologiya, statistika drevnikh astronomicheskikh soobschenii), izd-vo MGU, M., 1990

1989
189.	Fomenko A.T., Kalashnikov V.V., Nosovsky G.V., When was Ptolemy's star catalogue in “Almagest” compiled in reality?, Preprint No. 1989-04 / ISSN 0347-2809, Dept. of Math. Chalmers Univ. of Technology, The University of Goteborg, 1989
190.	Fomenko A.T., “Mathematical statistics and problems of ancient chronology. A new approach”, Acta Appl. Math., 17:3 (1989), 231–256
191.	Fomenko A. T., Kalashnikov V. V., Nosovsky G. V., “When was Ptolemy's star catalogue in Almagest compiled in reality? Statistical analysis”, Acta Appl. Math., 17:3 (1989), 203–229	4 ^[x]
192.	Fomenko A.T., “Recognition of dependences and stratified structures in narrative texts”, Stability problems for stochastic models, J. Soviet Math., 47:5 (1989), 2783–2795
193.	Fomenko A.T., Kalashnikov V.V., Nosovsky G.V., “Dating the Almagest by variable star configurations”, Soviet Phys. Dokl., 34:8 (1989), 666–668 (1990)
194.	Nosovskii G.V., Fomenko A.T., “Sloistye struktury i analiz zvezdnykh konfiguratsii”, Issledovaniya operatsii i ASU, 33, 1989, 59–75
195.	Fomenko A.T., Sharko V.V., “Exact round Morse functions, inequalities of Morse type and integrals of Hamiltonian systems”, Ukrainian Math. J., 41:6 (1989), 621–629 (1990)
196.	Fomenko A.T., “Visual and hidden symmetry in geometry”, Symmetry 2: unifying human understanding, Part 1, Comput. Math. Appl., 17:1-3 (1989), 301–320	2 ^[x]
197.	A. T. Fomenko, “The symplectic topology of completely integrable Hamiltonian systems”, Russian Math. Surveys, 44:1 (1989), 181–219
198.	Kalashnikov V.V., Nosovskii G.V., Fomenko A.T., “Statisticheskii analiz i datirovka nablyudenii, lezhaschikh v osnove zvezdnogo kataloga iz “Almagesta””, Tezisy dokladov. Pyataya Mezhdunarodnaya Vilnyusskaya konferentsiya po teorii veroyatnostei i matematicheskoi statistike, v. 3, Institut matematiki i kibernetiki AN Litovskoi SSR, Vilnyus, 1989, 271–272
199.	Nosovskii G.V., Fomenko A.T., “Postroenie mery blizosti i raspoznavanie dublikatov v khronologicheskikh spiskakh”, Tezisy dokladov. Pyataya Mezhdunarodnaya Vilnyusskaya konferentsiya po teorii veroyatnostei i matematicheskoi statistike, v. 4, Institut matematiki i kibernetiki AN Litovskoi SSR, Vilnyus, 1989, 111–112
200.	Fomenko A.T., Fuks D.B., Kurs gomotopicheskoi topologii, Nauka, M., 1989 , 496 pp.
201.	Rachev S.T., Fomenko A.T., “Funktsii ob'emov istoricheskikh tekstov i printsip amplitudnoi korrelyatsii”, Metody izucheniya istochnikov po istorii russkoi obschestvennoi mysli perioda feodalizma, Sbornik nauchnykh trudov, Institut istorii SSSR AN SSSR, M., 1989, 161–180
202.	Nosovskii G.V., Fomenko A.T., “Statisticheskie dublikaty v uporyadochennykh spiskakh s razbieniem”, Voprosy kibernetiki. Semioticheskie issledovaniya, Nauchnyi sovet po kompleksnoi probleme “Kibernetika”. AN SSSR, Moskva, 1989, 138–148
203.	Nosovskii G.V., Fomenko A.T., “Raspoznavanie dublikatov v khronologicheskikh spiskakh (metod gistogramm chastot razneseniya svyazannykh imen)”, Problemy ustoichivosti stokhasticheskikh modelei. Trudy seminara, VNIISI, M., 1989, 112–125

1988
204.	Dubrovin B.A., Novikov S.P., Fomenko A.T., Geometria contemporanea. Metodi e applicazioni. Vol. II. Geometria e topologia delle varietà [Modern geometry. Methods and applications. Vol. II Geometry and topology of manifolds], Nuova Biblioteca di Cultura. [New Library of Culture], Editori Riuniti, Rome, 1988 , 367 pp. (Italian)
205.	Fomenko A.T., Symplectic geometry, Advanced Studies in Contemporary Mathematics, 5, Gordon and Breach Science Publishers, New York, 1988 , xiv+387 pp.
206.	Mishchenko A., Fomenko A., A course of differential geometry and topology, “Mir”, Moscow, 1988 , 455 pp.
207.	Fomenko A.T., Integrability and nonintegrability in geometry and mechanics, Mathematics and its Applications (Soviet Series), 31, Kluwer Academic Publishers Group, Dordrecht, 1988 , xvi+343 pp.
208.	Fomenko A.T., “Invariant portrait of Hamiltonian integrable in Liouville sense”, Topology and geometry—Rohlin Seminar, Lecture Notes in Math., 1346, Springer, Berlin, 1988, 57–76	1 ^[x]
209.	Fomenko A.T., “Qualitative geometrical theory of integrable systems. Classification of isoenergetic surfaces and bifurcation of Liouville tori at the critical energy values”, Global analysis—studies and applications, III, Lecture Notes in Math., 1334, Springer, Berlin, 1988, 221–245	6 ^[x]
210.	Van Le Khong, Fomenko A.T., “Volumes of minimal surfaces and the curvature tensor Riemannian manifolds”, Soviet Math. Dokl., 37:3 (1988), 817–820
211.	Fomenko A.T., Trofimov V.V., Integrable systems on Lie algebras and symmetric spaces, v. 2, Advanced Studies in Contemporary Mathematics, Gordon and Breach Science Publishers, New York, 1988 , xii+294 pp.
212.	Le Khong Van, Fomenko A.T., “Lagrangian manifolds and the Maslov index in the theory of minimal surfaces”, Soviet Math. Dokl., 37:2 (1988), 330–333
213.	A. T. Fomenko, “Topological invariants of Liouville integrable Hamiltonian systems”, Funct. Anal. Appl., 22:4 (1988), 286–296
214.	S. V. Matveev, A. T. Fomenko, “Morse-type theory for integrable Hamiltonian systems with tame integrals”, Math. Notes, 43:5 (1988), 382–386

1989
215.	A. T. Fomenko, H. Zieschang, “On typical topological properties of integrable Hamiltonian systems”, Math. USSR-Izv., 32:2 (1989), 385–412
216.	S. V. Matveev, A. T. Fomenko, V. V. Sharko, “Round Morse functions and isoenergy surfaces of integrable Hamiltonian systems”, Math. USSR-Sb., 63:2 (1989), 319–336

1988
217.	S. V. Matveev, A. T. Fomenko, “Constant energy surfaces of Hamiltonian systems, enumeration of three-dimensional manifolds in increasing order of complexity, and computation of volumes of closed hyperbolic manifolds”, Russian Math. Surveys, 43:1 (1988), 3–24
218.	Fomenko A.T., Simplekticheskaya geometriya. Metody i prilozheniya, izd-vo MGU, M., 1988 , 414 pp.
219.	Matveev S.V., Fomenko A.T., “Teoriya slozhnosti trekhmernykh mnogoobrazii, klass $H$ i giperbolicheskie struktury”, Vsesoyuznaya konferentsiya po geometricheskoi teorii funktsii, Tezisy dokladov, In-t matematiki SO AN SSSR, Novosibirsk, 1988, 67
220.	Fomenko A.T., Sharko V.V., “Tochnye kruglye funktsii Morsa, neravenstva tipa Morsa i integraly gamiltonovykh sistem”, Globalnyi analiz i nelineinye uravneniya, izd-vo Voronezhskogo un-ta, Voronezh, 1988, 92–107
221.	Nosovskii G.V., Fomenko A.T., “Nekotorye metody i rezultaty analiza peremeshannykh posledovatelnostei”, Trudy seminara po vektornomu i tenzornomu analizu, 23, izd-vo MGU, M., 1988, 104–121
222.	Kalashnikov V.V., Nosovskii G.V., Fomenko A.T., “Geometriya podvizhnykh konfiguratsii zvezd i datirovka Almagesta”, Problemy ustoichivosti stokhasticheskikh modelei. Trudy seminara, VNIISI, M., 1988, 59–78
223.	Fomenko A.T., “Empirico-Statistical Methods in Ordering Narrative Texts”, International Statistical Review, 56:3 (1988), 279–301	1 ^[x]

1987
224.	Dubrovin B.A., Novikov S.P., Fomenko A.T., Geometria contemporanea. Metodi e applicazioni. Vol. I. Geometria delle superfici, dei gruppi di trasformazioni e dei campi [Modern geometry. Methods and applications. Vol. I. The geometry of surfaces, transformation groups and fields], Nuova Biblioteca di Cultura. [New Library of Culture], Editori Riuniti, Rome, 1987 , 416 pp. (Italian)
225.	Fomenko A. T., “Duplicates in mixed sequences and a frequency duplication principle. Methods and applications”, Probability theory and mathematical statistics (Vilnius, 1985), v. I, VNU Sci. Press, Utrecht, 1987, 439–465
226.	Fomenko A.T., Differential geometry and topology, Contemporary Soviet Mathematics, Consultants Bureau, New York, 1987 , xiv+323 pp.

1989
227.	A. V. Brailov, A. T. Fomenko, “The topology of integral submanifolds of completely integrable Hamiltonian systems”, Math. USSR-Sb., 62:2 (1989), 373–383

1987
228.	V. V. Trofimov, A. T. Fomenko, “Geometric and algebraic mechanisms for the integrability of Hamiltonian systems on homogeneous spaces and Lie algebras”, Dynamical systems – 7, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 16, VINITI, Moscow, 1987, 227–299
229.	Le Khong Van, A. T. Fomenko, “Kriterii minimalnosti lagranzhevykh podmnogoobrazii v kelerovykh mnogoobraziyakh”, Matem. zametki, 42:4 (1987), 559–571	3 ^[x]
230.	Fomenko A.T., Tsishang Kh., “O topologii trekhmernykh mnogoobrazii, voznikayuschikh v gamiltonovoi mekhanike”, Doklady AN SSSR, 294:2 (1987), 283–287	29 ^[x]
231.	Fomenko A.T., Zieschang H., On typical topological properties of integrable Hamiltonian systems, Preprint Nr. 92/1987, Ruhr-Universitat, Bochum, Germany, 1987 , 47 pp.
232.	Dao Chong Tkhi, Fomenko A.T., Minimalnye poverkhnosti i problema Plato, Nauka, M., 1987 , 312 pp. ; Dao Trong Thi, A. T. Fomenko, Minimal Surfaces, Stratified Multivarifolds and the Plateau Problem, Translation of Mathematical Monographs, 84, Amer. Math. Soc., 1991 , 404 pp.
233.	Fomenko A.T., “Raspoznavanie zavisimostei i sloistykh struktur v narrativnykh tekstakh”, Problemy ustoichivosti stokhasticheskikh modelei. Trudy seminara, VNIISI, M., 1987, 115–128
234.	Fomenko A.T., “Topologicheskie svoistva mnogomernykh ekstremalei funktsionala ob'ema i funktsionala Dirikhle”, Dopolnenie k kn.: Federer G., Geometricheskaya teoriya mery, Nauka, M., 1987, 720–753
235.	Morozova L.E., Fomenko A.T., “Kolichestvennye metody v “makrotekstologii” (na primere pamyatnikov “smuty” kontsa XVI – nachala XVII v.)”, Kompleksnye metody v izuchenii istoricheskikh protsessov, In-t Istorii SSSR. AN SSSR, M., 1987, 163–181
236.	Novikov S.P., Fomenko A.T., Elementy differentsialnoi geometrii i topologii, Nauka, M., 1987 , 432 pp. ; Novikov S.P., Fomenko A.T., Basic elements of differential geometry and topology, Kluwer Academic Publishers, The Netherlands, 1990 , 490 pp.
237.	Fomenko A.T., “New topological invariant of integrable Hamiltonians”, Baku International Topological Conference, Abstracts. Part 2, In-t matematiki AN SSSR, In-t matematiki i mekhaniki AN Azerb. SSR, Baku, 1987, 316
238.	Le Khong Van, Fomenko A.T., “Vliyanie krivizny mnogoobraziya na ob'emy ego minimalnykh podmnogoobrazii”, Vsesoyuznaya konferentsiya po geometrii “v tselom”, Tezisy, In-t matematiki SO AN SSSR, Novosibirsk, 1987, 70
239.	Fomenko A.T., “Kachestvennaya geometricheskaya teoriya integriruemykh sistem, klassifikatsiya izoenergeticheskikh poverkhnostei i bifurkatsii torov Liuvillya pri kriticheskikh znacheniyakh energii”, Geometriya i teoriya osobennostei v nelineinykh uravneniyakh, Novoe v globalnom analize, izd-vo Voronezhskogo un-ta, Voronezh, 1987, 118–139 ; Fomenko A.T., “Qualitative geometrical theory of integrable systems. Classification of isoenergetic surfaces and bifurcation of Liouville tori at the critical values”, Lecture Notes in Math., 1334, Springer-Verlag, 1988, 221–245	6

1986
240.	Fomenko A.T., “Nekotorye novye topologicheskie zadachi gamiltonovoi mekhaniki”, Geometriya, differentsialnye uravneniyai mekhanika (Moskva, 1985), MGU, mekhmat f-t, M., 1986, 19–24
241.	Fomenko A.T., Fuchs D.B., Gutenmacher V.L., Homotopic topology, Akadémiai Kiadó (Publishing House of the Hungarian Academy of Sciences), Budapest, 1986 , 310 pp.
242.	Dubrovin B.A., Novikov S.P., Fomenko A.T., Sovremennaya geometriya. Metody i prilozheniya, vtoroe izdanie, Nauka, M., 1986 , 760 pp.
243.	Fomenko A.T., “Symmetries of soap films”, Symmetry: unifying human understanding, II, Comput. Math. Appl. Part B, 12, no. 3-4, 1986, 825–834	1 ^[x]

1987
244.	V. V. Trofimov, A. T. Fomenko, “The geometry of Poisson brackets and methods for integration, in the sense of Liouville, of systems on symmetric spaces”, J. Soviet Math., 39:3 (1987), 2683–2746
245.	A. T. Fomenko, “The topology of surfaces of constant energy in integrable Hamiltonian systems, and obstructions to integrability”, Math. USSR-Izv., 29:3 (1987), 629–658

1986
246.	Fomenko A.T., “Teoriya Morsa integriruemykh gamiltonovykh sistem”, Doklady AN SSSR, 287:5 (1986), 1071–1075	71 ^[x]
247.	Fomenko A.T., “New empirico-statistical dating methods and statistics of certain astronomical data”, Tezisy Pervogo Vsemirnogo Kongressa Obschestva matematicheskoi statistiki i teorii veroyatnostei im. Bernulli, v. 2, Nauka, M., 1986, 892
248.	Fomenko A.T., “Nekotorye novye topologicheskie zadachi gamiltonovoi mekhaniki”, Geometriya, differentsialnye uravneniya i mekhanika, izd-vo MGU, M., 1986, 19–24
249.	Tuzhilin A.A., Fomenko A.T., “Mnogoznachnye otobrazheniya, minimalnye poverkhnosti i mylnye plenki”, Vestnik MGU. Seriya 1. Matematika, mekhanika, 1986, no. 3, 3–12	5 ^[x]
250.	Matveev S.V., Fomenko A.T., Sharko V.V., Kruglye funktsii Morsa i izoenergetichseskie poverkhnosti integriruemykh gamiltonovykh sistem, Preprint 76, In-t matematiki AN USSR, Kiev, 1986 , 32 pp.
251.	Kalashnikov V.V., Rachev S.T., Fomenko A.T., “Novye metodiki sravneniya funktsii ob'emov istoricheskikh tekstov”, Problemy ustoichivosti stokhasticheskikh modelei. Trudy seminara, VNIISI, M., 1986, 33–45
252.	Fomenko A.T., Morozova L.E., “Nekotorye voprosy metodiki statisticheskoi obrabotki istochnikov s pogodnym izlozheniem”, Matematika v izuchenii srednevekovykh povestvovatelnykh istochnikov, Nauka, M., 1986, 107–129

1985
253.	Mishchenko A.S., Solovyev Yu.P., Fomenko A.T., Problems in differential geometry and topology, “Mir”, Moscow, 1985 , iv+208 pp.
254.	Doubrovine B., Novikov S., Fomenko A., Géométrie contemporaine. Méthodes et applications. 2-e partie, Géométrie et topologie des variétés. [Geometry and topology of manifolds], Traduit du Russe: Mathématiques. [Translations of Russian Works: Mathematics], “Mir”, Moscow, 1985 , 371 pp. (French)
255.	Doubrovine B., Novikov S., Fomenko A., Géométrie contemporaine. Méthodes et applications. 1-re partie, Géométrie des surfaces, des groupes de transformations et des champs. [Geometry of surfaces, transformation groups and fields], Traduit du Russe: Mathématiques. [Translations of Russian Works: Mathematics], “Mir”, Moscow, 1985 , 438 pp. (French)
256.	Dubrovin B. A., Fomenko A. T., Novikov S. P., Modern geometry—methods and applications. Part II. The geometry and topology of manifolds, Graduate Texts in Mathematics, 104, Springer-Verlag, New York, 1985 , xv+430 pp.	195 ^[x]
257.	Fomenko A.T., “Informativnye funktsii i svyazannye s nimi statisticheskie zakonomernosti”, Uchenye zapiski po statistike. Statistika. Veroyatnost. Ekonomika, 49, Nauka, M., 1985, 335–342
258.	Fomenko A.T., “Simmetricheskie prostranstva i integrirovanie nekotorykh gamiltonovykh sistem”, Prilozhenie k kn.: O. Loos, Simmetricheskie prostranstva, Nauka, M., 1985, 183–201
259.	Fomenko A.T., “Dublikaty v peremeshannykh posledovatelnostyakh i printsip zatukhaniya chastot”, Tezisy dokladov 4-i Mezhdunarodnoi konferentsii po teorii veroyatnostei i matematicheskoi statistike, v. 3, In-t matematiki i kibernetiki AN Litovskoi SSR, Vilnyus, 1985, 246–248
260.	Fomenko A.T., Zieschang H., On the topology of three-dimensional manifolds arising in Hamiltonian mechanics, Preprint No. 55/1985, Ruhr Universitat, Bochum, Germany, 1985 , 10 pp.
261.	Fomenko A.T., “Topologiya trekhmernykh mnogoobrazii i integriruemye mekhanicheskie gamiltonovy sistemy”, V-i Tiraspolskii simpozium po obschei topologii i ee prilozheniyam, Kishinev, 1985, 235–237
262.	Fomenko A.T., “O dvizhenii zhidkosti”, Khimiya i zhizn, 1985, no. 10, 84–91
263.	Nosovskii G.V., Fomenko A.T., “Ob opredelenii iskhodnykh struktur v peremeshannykh posledovatelnostyakh”, Trudy seminara po vektornomu i tenzornomu analizu, 22, izd-vo MGU, M., 1985, 119–131

1984
264.	Fomenko A.T., “Algebraic properties of some integrable Hamiltonian systems”, Topology (Leningrad, 1982), Lecture Notes in Math., 1060, Springer, Berlin, 1984, 246–257	1 ^[x]
265.	Dubrovin B.A., Fomenko A.T., Novikov S.P., Modern geometry—methods and applications. Part I. The geometry of surfaces, transformation groups, and fields, Graduate Texts in Mathematics, 93, Springer-Verlag, New York, 1984 , xv+464 pp.	224 ^[x]
266.	V. V. Trofimov, A. T. Fomenko, “Liouville integrability of Hamiltonian systems on Lie algebras”, Russian Math. Surveys, 39:2 (1984), 1–67
267.	Fomenko A.T., “O nekotorykh svoistvakh ekstremalei variatsionnykh zadach”, Geometriya i topologiya v globalnykh nelineinykh zadachakh, izd-vo Voronezhskogo un-ta, Voronezh, 1984, 114–122
268.	Dubrovin B.A., Novikov S.P., Fomenko A.T., Sovremennaya geometriya. Chast 3. Metody teorii gomologii, Nauka, M., 1984 , 344 pp. ; Dubrovin B.A., Fomenko A.T., Novikov S.P., Modern Geometry - Methods and Applications. Part III. Introduction to Homology Theory, Graduate Texts in Math., 124, Springer Verlag, 1990	47
269.	Fomenko A.T., Topologicheskie variatsionnye zadachi, izd-vo MGU, M., 1984 , 216 pp. ; Fomenko A.T., Variational Problems in Topology. The Geometry of Length, Area and Volume, Gordon and Breach Science Publishers, 1990 , 225 pp.
270.	Fomenko A.T., “Statisticheskaya metodika analiza zatukhaniya chastot v khronograficheskikh tekstakh i prilozheniya k globalnoi khronologii”, Issledovanie operatsii i ASU, 24, izd-vo Kievskogo un-ta, Kiev, 1984, 49–66
271.	Fomenko A.T., “Novaya empiriko-statisticheskaya metodika obnaruzheniya parallelizmov i datirovaniya dublikatov”, Problemy ustoichivosti stokhasticheskikh modelei. Trudy seminara, VNIISI, M., 1984, 154–177
272.	Dao Chong Tkhi, Fomenko A.T., “Topologiya absolyutnykh minimumov funktsionalov tipa ob'ema i funektsionala Dirikhle”, Sovremennye voprosy veschestvennogo i kompleksnogo analiza, In-t matematiki AN USSR, Kiev, 1984, 40–64 ; Dao Chong Tkhi and A. T. Fomenko, “Topology of Absolute Minima of Functionals of Volume Type and the Dirichlet Functional”, Amer. Math. Soc. Transl. (2), 145 (1989), 93–108
273.	Fomenko A.T., “Chastotnye matritsy i ikh primenenie dlya statisticheskoi obrabotki narrativnykh istochnikov”, Tezisy dokladov soveschaniya “Kompleksnye metody v izuchenii istorii s drevneishikh vremen do nashikh dnei”, In-t Istorii SSSR. AN SSSR. Komissiya po primeneniyu metodov estestvennykh nauk v arkheologii, M., 1984, 135–136
274.	Fomenko A.T., “Indeksy minimalnykh i garmonicheskikh poverkhnostei”, Metody topologii i rimanovoi geometrii v matematicheskoi fizike, izd-vo Vilnyusskogo un-ta, Vilnyus, 1984, 95–108
275.	Fomenko A.T., “O probleme Puankare”, Nauka i chelovechestvo, Mezhdunarodnyi ezhegodnik. Razdel “Letopis nauki”, 1984, 301–305

1983
276.	Fomenko A. T., “The integrability of some Hamiltonian systems”, Ann. Global Anal. Geom., 1:2 (1983), 1–10	5 ^[x]
277.	V. V. Trofimov, A. T. Fomenko, “Dynamical systems on the orbits of linear representations of Lie groups and the complete integrability of certain hydrodynamical systems”, Funct. Anal. Appl., 17:1 (1983), 23–29
278.	Fomenko A.T., “Novaya empiriko-statisticheskaya metodika uporyadocheniya tekstov i prilozheniya k zadacham datirovki”, Doklady AN SSSR, 268:6 (1983), 1322–1327
279.	Fomenko A.T., “O skorosti rosta i o naimenshikh ob'emakh globalno minimalnykh poverkhnostei v kobordizmakh”, Trudy seminara po vektornomu i tenzornomu analizu, 21, izd-vo MGU, M., 1983, 3–12
280.	Fomenko A.T., “O geometrii raspredeleniya tselykh tochek v giperoblastyakh”, Trudy seminara po vektornomu i tenzornomu analizu, 21, izd-vo MGU, M., 1983, 106–152
281.	Trofimov V.V., Fomenko A.T., “Gruppovye neinvariantnye simplekticheskie struktury i gamiltonovy potoki na simmetricheskikh prostranstvakh”, Trudy seminara po vektornomu i tenzornomu analizu, 21, izd-vo MGU, M., 1983, 23–83 ; Trofimov V.V., Fomenko A.T., “Noninvariant symplectic group structures and Hamiltonian flows on symmetric spaces”, Selecta Matematica Sovietica, 7:4 (1988), 355–414
282.	Fomenko A.T., “Avtorskii invariant russkikh literaturnykh tekstov”, Metody kachestvennogo analiza tekstov narrativnykh istochnikov, In-t Istorii SSSR, AN SSSR, M., 1983, 86–109
283.	Fomenko A.T., “Algebraicheskaya struktura nekotorykh integriruemykh gamiltonovykh sistem”, Topologicheskie i geometricheskie metody v matematicheskoi fizike, Novoe v globalnom analize, izd-vo Voronezhskogo un-ta, Voronezh, 1983, 84–110 ; Fomenko A.T., “Algebraic structure of certain integrable Hamiltonian systems”, Global Analysis - Studies and Applications. 1, Lecture Notes in Math., 1108, Springer-Verlag, 1984, 103–127	2
284.	Fomenko A.T., Differentsialnaya geometriya i topologiya. Dopolnitelnye glavy, izd-vo MGU, M., 1983 ; Fomenko A.T., Differential geometry and topology, Ser. Contemporary Soviet Mathematics, Plenum Publ. Corporation, Consultants Bureau–New York–London, 1987
285.	Fomenko A.T., “On absolute minima of a volume functional on Riemannian manifolds. Integration of Hamiltonian systems on Lie algebras”, Intern. Congress of Math. (Warszawa 1982), Short communications. Abstracts, v. 3, 1983, 17
286.	Fedorov V.V., Fomenko A.T., “Statisticheskaya otsenka khronologicheskoi blizosti istoricheskikh tekstov”, Problemy ustoichivosti stokhasticheskikh modelei. Trudy seminara, VNIISI, M., 1983, 101–107 ; Fedorov V.V., Fomenko A.T., “Statistical estimation of chronological nearness of historical texts”, Journal of Soviet Math., 32:6 (1986), 668–675	2
287.	Fomenko A.T., “Globalnaya khronologicheskaya karta”, Khimiya i zhizn, 1983, no. 11, 85–92
288.	Fomenko A.T., “Ob absolyutnykh minimumakh funktsionala ob'ema i funktsionala Dirikhle na rimanovykh mnogoobraziyakh”, Vestnik MGU. Seriya 1, matematika i mekhanika, 1983, no. 6, 87–94	1 ^[x]
289.	Fomenko A.T., “Novye metodiki khronologicheski pravilnogo uporyadochivaniya tekstov i prilozheniya k zadacham datirovki drevnikh sobytii”, Issledovanie operatsii i ASU, 21, izd-vo Kievskogo un-ta, Kiev, 1983, 40–59
290.	Fomenko A.T., “Metodika statisticheskoi obrabotki parallelei khronograficheskikh tekstakh i globalnaya khronologicheskaya karta”, Issledovanie operatsii i ASU, 22, izd-vo Kievskogo un-ta, Kiev, 1983, 29–40

1982
291.	Doubrovine B., Novikov S., Fomenko A., Géométrie contemporaine. Méthodes et applications. II, Géométrie et topologie des variétés. [Geometry and topology of manifolds], “Mir”, Moscow, 1982 , 371 pp. (French)
292.	Doubrovine B., Novikov S., Fomenko A., Géométrie contemporaine. Méthodes et applications. I, Géométrie des surfaces, des groupes de transformations et des champs. [Geometry of surfaces, groups of transformations and fields], “Mir”, Moscow, 1982 , 438 pp. (French)
293.	Fomenko A.T., “Vychislenie vtoroi proizvodnoi lunnoi elongatsii i statisticheskie zakonomernosti v raspredelenii nekotorykh astronomicheskikh dannykh”, Issledovanie operatsii i ASU, 20, izd-vo Kievskogo un-ta, Kiev, 1982, 98–113
294.	Fomenko A.T., “Algebraicheskie svoistva nekotorykh integriruemykh gamiltonovykh sistem”, Tezisy Leningradskoi mezhdunarodnoi topologicheskoi konferentsii, LOMI AN SSSR, Leningrad, 1982, 46
295.	Fomenko A.T., “Polnaya integriruemost nekotorykh klassicheskikh gamiltonovykh sistem”, Monogennye funktsii i otobrazheniya, In-t matematiki AN USSR, Kiev, 1982, 3–19 ; Fomenko A.T., “Complete integrability of some classical Hamiltonian systems”, Amer. Math. Soc. Transl. (2), 133 (1986), 79–90
296.	Postnikov M.M., Fomenko A.T., “Novye metodiki statisticheskogo analiza narrativno-tsifrovogo materiala drevnei istorii”, Trudy po znakovym sistemam. XV. Tipologiya kultury, vzaimnoe vozdeistvie kultur, Uchenye zapiski Tartusskogo un-ta, 576, izd-vo Tartusskogo un-ta, Estoniya, Tartu, 1982, 24–43
297.	Fomenko A.T., Variatsionnye metody v topologii, Nauka, M., 1982 , 344 pp. ; Fomenko A.T., Variational Principles in Topology (Multidimensional Minimal Surface Theory), Kluwer Academic Publishers, 1990 , 374 pp.
298.	Fomenko A.T., “Geometriya mylnykh plenok”, Khimiya i zhizn, 1982, no. 6, 14–21
299.	Fomenko A.T., “K voprosu o mistifikatsiyakh”, Tekhnika i nauka, 1982, no. 11, 26–29

1981
300.	A. T. Fomenko, “Multi-dimensional variational methods in the topology of extremals”, Russian Math. Surveys, 36:6 (1981), 127–165

1982
301.	A. T. Fomenko, “On minimal volumes of topological globally minimal surfaces in cobordisms”, Math. USSR-Izv., 18:1 (1982), 163–183
302.	A. T. Fomenko, “On symplectic structures and integrable systems on symmetric spaces”, Math. USSR-Sb., 43:2 (1982), 235–250

1981
303.	Mischenko A.S., Fomenko A.T., “Integrirovanie gamiltonovykh sistem s nekommutativnymi simmetriyami”, Trudy seminara po vektornomu i tenzornomu analizu, 20, izd-vo MGU, M., 1981, 5–54
304.	Fomenko A.T., “Informativnye funktsii i svyazannye s nimi statisticheskie zakonomernosti”, Tezisy dokladov 3-i Mezhdunarodnoi Vilnyusskoi konferentsii po teorii veroyatnostei i matematicheskoi statistike, v. 2, In-t matematiki i kibernetiki AN Litovskoi SSR, Vilnyus, 1981, 211–212
305.	Fomenko A.T., “Metodika raspoznavaniya dublikatov i nekotorye prilozheniya”, Doklady AN SSSR, 258:6 (1981), 1326–1330
306.	Trofimov V.V., Fomenko A.T., “O realizatsii mekhanicheskikh sistem na orbitakh razreshimykh algebr Li”, Izvestiya AN SSSR. Mekhanika tverdogo tela, 1981, no. 3, 163
307.	Fomenko A.T., “O svoistvakh vtoroi proizvodnoi lunnoi elongatsii i svyazannykh s nei statisticheskikh zakonomernostyakh”, Voprosy vychislitelnoi i prikladnoi matematiki, 63, Redaktsionno-Izdatelskii Sovet AN Uzb.SSR, Tashkent, 1981, 136–150
308.	Fomenko A.T., “The jump of the second derivative of the Moon's elongation”, Celestial mechanics, 29 (1981), 33–40	7 ^[x]
309.	Mischenko A.S., Solovev Yu.P., Fomenko A.T., Sbornik zadach po differentsialnoi geometrii i topologii, izd-vo MGU, M., 1981 ; Mishchenko A.S., Solovyev Yu.P., Fomenko A.T., Problems in Differential Geometry and Topology, MIR Publishers, Moscow, 1985
310.	Fomenko A.T., Novye eksperimentalno-statisticheskie metodiki datirovaniya drevnikh sobytii i prilozheniya k globalnoi khronologii drevnego i srednevekovogo mira, Preprint. Zak. 3672. Lit. ot 9/XI - 81 g. No. BO7201, Gos. Komitet Televid. i Radiovesch., Moskva, 1981
311.	Fomenko A.T., “Algebraicheskaya struktura nekotorykh klassov vpolne integriruemykh gamiltonovykh sistem na algebrakh Li”, Geometricheskaya teoriya funktsii i topologiya, In-t matematiki AN USSR, Kiev, 1981, 85–126
312.	Fomenko A.T., “O naglyadnom izobrazhenii matematicheskikh ponyatii”, Khimiya i zhizn, 1981, no. 11, 84–89

1980
313.	Fomenko A.T., “Universalnaya otsenka snizu na skorost rosta globalno minimalnykh reshenii”, Doklady AN SSSR, 251:2 (1980), 295–299	1 ^[x]
314.	Fomenko A.T., “Nekotorye statisticheskie zakonomernosti raspredeleniya plotnosti informatsii v tekstakh so shkaloi”, Semiotika i informatika, 15, VINITI, M., 1980, 99–124
315.	Postnikov M.M., Fomenko A.T., Novye metodiki statisticheskogo analiza narrativno-tsifrovogo materiala drevnei istorii, Preprint, AN SSSR, Nauchnyi Sovet po kompleksnoi probleme “Kibernetika”, M., 1980 , 36 pp.
316.	Fomenko A.T., “Gruppovye simplekticheskie struktury na odnorodnykh prostranstvakh”, Doklady AN SSSR, 253:5 (1980), 1062–1067	4 ^[x]
317.	Trofimov V.V., Fomenko A.T., “Metodika postroeniya gamiltonovykh potokov na simmetricheskikh prostranstvakh i integriruemost gidrodinamicheskikh sistem”, Doklady AN SSSR, 254:6 (1980), 1349–1353	35 ^[x]
318.	Fomenko A.T., “O raschete vtoroi proizvodnoi lunnoi elongatsii”, Problemy mekhaniki upravlyaemogo dvizheniya. Ierarkhicheskie sistemy, izd-vo Permskogo un-ta, Perm, 1980, 161–166
319.	Mischenko A.S., Fomenko A.T., Kurs differentsialnoi geometrii i topologii, izd-vo MGU, M., 1980 , 440 pp. ; Mishchenko A., Fomenko A., A Course of Differential Geometry and Topology, MIR Publishers, Moscow, 1988

1979
320.	Mishchenko A.S., Fomenko A.T., “Symplectic Lie group actions”, Algebraic topology, Aarhus 1978 (Proc. Sympos., Univ. Aarhus, Aarhus, 1978), Lecture Notes in Math., 763, Springer, Berlin, 1979, 504–538	4 ^[x]

1980
321.	A. S. Mishchenko, A. T. Fomenko, “The index of elliptic operators over $C^*$-algebras”, Math. USSR-Izv., 15:1 (1980), 87–112

1979
322.	Mischenko A.S., Fomenko A.T., “Integriruemost uravnenii Eilera na poluprostykh algebrakh Li”, Trudy seminara po vektornomu i tenzornomu analizu, no. 19, izd-vo MGU, M., 1979, 3–94 ; Mishchenko A.S., Fomenko A.T., “Integrability of Euler Equations on Semisimple Lie Algebras”, Sel. Math. Sov., 2, no. 3, 1982, 207–291.
323.	Mischenko A.S., Fomenko A.T., S*-algebry i K-teoriya, Shkola po teorii operatorov v funktsionalnykh prostranstvakh (Preprint), SO AN SSSR, In-t matematiki, Novosibirsk, 1979
324.	Dubrovin B.A., Novikov S.P., Fomenko A.T., Sovremennaya geometriya, Chasti 1, 2, Nauka, M., 1979 , 760 pp. ; Dubrovin B.A., Fomenko A.T., Novikov S.P., Modern Geometry. Methods and Applications, Springer-Verlag , GTM 93, Part 1, 1984; GTM 104, Part 2, 1985; GTM 124, Part 3, 1990 ; Doubrovine B., Novikov S., Fomenko A., Géométrie Contemporaine. Méthodes et Applications. Premiere partie. Deuxieme partie, Editions de Moscou Mir, 1982

1978
325.	A. S. Mishchenko, A. T. Fomenko, “Generalized Liouville method of integration of Hamiltonian systems”, Funct. Anal. Appl., 12:2 (1978), 113–121
326.	A. S. Mishchenko, A. T. Fomenko, “Euler equations on finite-dimensional Lie groups”, Math. USSR-Izv., 12:2 (1978), 371–389
327.	Fomenko A.T., “Mnogomernye zadachi Plato na rimanovykh mnogoobraziyakh i ekstraordinarnye teorii gomologii i kogomologii. Chast 2”, Trudy seminara po vektornomu i tenzornomu analizu, 18, izd-vo MGU, M., 1978, 4–93
328.	Volodin I.A., Fomenko A.T., “Mnogoobraziya. Uzly. Algoritmy”, Trudy seminara po vektornomu i tenzornomu analizu, no. 18, izd-vo MGU, M., 1978, 94–128 ; Volodin I.A., Fomenko A.T., “Manifolds. Knots and Algorithms”, Sel. Math. Sov., 3, no. 4, 1983, 311–341
329.	Mischenko A.S., Fomenko A.T., “Nekommutativnoe integrirovanie gamiltonovykh sistem i ego prilozheniya”, Izvestiya AN SSSR. Mekhanika tverdogo tela, 1978, no. 4, 187–188
330.	Novikov S.P., Mischenko A.S., Solovev Yu.P., Fomenko A.T., Sbornik zadach “Differentsialnaya geometriya i topologiya”, izd-vo MGU, M., 1978

1977
331.	Volodin I.A., Fomenko A.T., “Ob odnom topologicheskom algoritme”, Tezisy dokladov 7-oi Vsesoyuznoi topologicheskoi konferentsii, In-t matematiki AN BSSR, Minsk, 1977, 44
332.	Mischenko A.S., Fomenko A.T., “Integrirovanie dinamicheskikh gamiltonovykh sistem na gruppakh Li”, Tezisy dokladov 7-oi Vsesoyuznoi topologicheskoi konferentsii, In-t matematiki AN BSSR, Minsk, 1977, 128

1976
333.	Mischenko A.S., Fomenko A.T., “Integrirovanie uravnenii Eilera na poluprostykh algebrakh Li”, Doklady AN SSSR, 231:3 (1976), 536–538	20 ^[x]

1975
334.	Fomenko A.T., “Multidimensional Plateau problem on Riemannian manifolds. On the problem of the algorithmical recognizability of the standard three-dimensional sphere”, Proceedings of the International Congress of Mathematicians (Vancouver, B.C., 1974), v. 1, Canad. Math. Congress, Montreal, Que., 1975, 515–523

1974
335.	I. A. Volodin, V. E. Kuznetsov, A. T. Fomenko, “The problem of discriminating algorithmically the standard three-dimensional sphere”, Russian Math. Surveys, 29:5 (1974), 71–172
336.	Fomenko A.T., “Mnogomernye zadachi Plato na rimanovykh mnogoobraziyakh. Chast 1”, Trudy seminara po vektornomu i tenzornomu analizu, 17, izd-vo MGU, M., 1974, 3–176
337.	Novikov S.P., Fomenko A.T., Differentsialnaya geometriya. Chast 3, izd-vo MGU, M., 1974

1975
338.	A. T. Fomenko, “Geometric variational problems”, J. Soviet Math., 3:2 (1975), 185–197

1973
339.	A. T. Fomenko, “The multidimensional plateau problem in Riemannian varieties”, Math. Notes, 13:1 (1973), 94–97

1972
340.	A. T. Fomenko, “The multidimensional Plateau problem in Riemannian manifolds”, Math. USSR-Sb., 18:3 (1972), 487–527
341.	A. T. Fomenko, “Minimal compacta in riemannian manifolds and Reifenberg's conjecture”, Math. USSR-Izv., 6:5 (1972), 1037–1066
342.	Fomenko A.T., “Vpolne geodezicheskie modeli tsiklov”, Trudy seminara po vektornomu i tenzornomu analizu, 16, izd-vo MGU, M., 1972, 14–98
343.	Fomenko A.T., “Mnogomernaya zadacha Plato na rimanovykh mnogoobraziyakh”, Tezisy VI Vsesoyuznoi topologicheskoi konferentsii, Matem. in-t im. V. A. Steklova, Matem. in-t im. A. M. Razmadze, Tbilisi, 1972, 120

1971
344.	A. T. Fomenko, “Bott periodicity from the point of view of an $n$-dimensional Dirichlet functional”, Math. USSR-Izv., 5:3 (1971), 681–695
345.	Fomenko A.T., “Mnogomernaya zadacha Plato v ekstraordinarnykh teoriyakh gomologii i kogomologii”, Doklady AN SSSR, 200:4 (1971), 797–800	3 ^[x]

1970
346.	Fomenko A.T., “Polinomy Puankare nekotorykh odnorodnykh prostranstv”, Trudy seminara po vektornomu i tenzornomu analizu, 15, izd-vo MGU, M., 1970, 128–152
347.	Fomenko A.T., “Nekotorye sluchai realizatsii elementov gomotopicheskikh grupp odnorodnykh prostranstv vpolne geodezicheskimi sferami”, Doklady AN SSSR, 190:4 (1970), 792–795	1 ^[x]
348.	Fomenko A.T., “Mnogomernaya zadacha Plato i osobye tochki minimalnykh kompaktov”, Doklady AN SSSR, 192:2 (1970), 293–296	2 ^[x]
349.	Fomenko A.T., “Gomologicheskie svoistva minimalnykh kompaktov v mnogomernoi zadache Plato”, Doklady AN SSSR, 192:1 (1970), 38–41	2 ^[x]
350.	Fomenko A.T., “Realizatsiya tsiklov v kompaktnykh simmetricheskikh prostranstvakh vpolne geodezicheskimi podmnogoobraziyami”, Doklady AN SSSR, 195:4 (1970), 789–792	2 ^[x]

1969
351.	Fomenko A.T., “Suschestvovanie i pochti vsyudu regulyarnost minimalnykh kompaktov s zadannymi gomologicheskimi svoistvami”, Doklady AN SSSR, 187:4 (1969), 747–749	3 ^[x]
352.	Fuks D.B., Fomenko A.T., Gutenmakher V.L., Gomotopicheskaya topologiya, izd-vo MGU, M., 1969 , 460 pp.; Fomenko A.T., Fuchs D.B., Gutenmacher V.L., Homotopic topology, Akadémiai Kiadó, Budapest, 1986

1968
353.	Fomenko A.T., “Veschestvennye kogomologii nekotorykh odnorodnykh prostranstv”, Referaty dokladov nauchnoi konferentsii molodykh uchenykh MGU, izd-vo MGU, Moskva, 1968, 20–22
354.	Fuks D.B., Fomenko A.T., Gomotopicheskaya topologiya. Chast 2, izd-vo MGU, M., 1968 , 254 pp.

1967
355.	Fuks D.B., Fomenko A.T., Gutenmakher V.L., Gomotopicheskaya topologiya, pervoe izdanie, izd-vo MGU, Moskva, 1967 , 160 pp.
356.	Fuks D.B., Fomenko A.T., Gutenmakher V.L., Gomotopicheskaya topologiya, vtoroe izdanie, izd-vo MGU, Moskva, 1967 , 160 pp.

Presentations in Math-Net.Ru

1.	Introduction A. T. Fomenko Differential geometry and applications October 20, 2025 16:45
2.	Chair of Differential Geometry and its Applications at Moscow University A. T. Fomenko, A. I. Shafarevich, V. A. Kibkalo Differential geometry and applications September 15, 2025 16:45
3.	Обобщенная теорема Якоби-Шаля в неевклидовых пространствах G. V. Belozerov, A. T. Fomenko One day conference “Asymptotic methods in mathematical physics” dedicated to the memory of Victor Pavlovich Maslov June 17, 2025 12:00
4.	Integrable systems and billiards A. T. Fomenko Seminar "Complex analysis in several variables" (Vitushkin Seminar) April 10, 2024 16:45
5.	A new class of integrable billiards A. T. Fomenko Beijing–Moscow Mathematics Colloquium January 12, 2024 12:00
6.	Траекторные инварианты биллиардов и систем с некомпактными слоями G. V. Belozerov, A. T. Fomenko Differential geometry and applications November 13, 2023 16:45
7.	Обобщение теоремы Якоби-Шаля для пространств постоянной кривизны A. T. Fomenko, G. V. Belozerov Modern geometry methods April 5, 2023 19:00
8.	Эволюционные биллиарды как способ реализации интегрируемых случаев Эйлера и Лагранжа A. T. Fomenko, V. V. Vedyushkina November 7, 2022 15:00
9.	Топологические свойства биллиардов с потенциалом Гука на некоторых трехмерных софокусных столах A. T. Fomenko, G. V. Belozerov Differential geometry and applications April 18, 2022 16:45
10.	Эволюционные силовые биллиарды A. T. Fomenko, V. V. Vedyushkina Modern geometry methods November 25, 2020 19:00
11.	Топологическая классификация биллиардов в трехмерном евклидовом пространстве, ограниченных софокусными квадриками A. T. Fomenko, Modern geometry methods October 28, 2020 17:00
12.	Новые классы интегрируемых биллиардов и гамильтоновы системы геометрии, физики, механики A. T. Fomenko, V. V. Vedyushkina Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS March 5, 2020 11:00
13.	Realization of integrable systems by topological billiards with potential and magnetic field A. T. Fomenko International Conference "Classical Mechanics, Dynamical Systems and Mathematical Physics" on the occasion of V. V. Kozlov 70th birthday January 23, 2020 10:00
14.	Интегрируемые гамильтоновы системы с двумя степенями свободы и топологические биллиарды. Гипотеза А.Т. Фоменко. V. V. Vedyushkina, A. T. Fomenko Hamiltonian systems and statistical mechanics March 18, 2019
15.	Трёхмерные многообразия постоянной энергии и инварианты интегрируемых динамических систем A. T. Fomenko, K. I. Solodskih Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov June 9, 2017 18:30
16.	Скрытые симметрии, биллиарды и механика A. T. Fomenko Modern geometry methods December 2, 2015 18:30
17.	Bifurcational diagrams for some integrable Hamiltonian systems on surfaces of revolution with a given potential field E. O. Kantonistova, A. T. Fomenko Differential geometry and applications April 22, 2013 16:45
18.	The transfinite Lebesgue dimension (m,n)-dim N. N. Martynchuk, V. V. Fedorchuk, A. T. Fomenko Modern geometry methods April 17, 2013 18:30
19.	Состоится заседание памяти Олега Васильевича Мантурова (3.07.1936 – 23.07.2011) A. T. Fomenko, B. Yu. Sternin, V. O. Manturov, N. I. Goza P.K. Rashevskii seminar on tensor and vector analysis with applications in geometry, mechanics and physics September 26, 2011 18:30
20.	Случай Л. Эйлера движения твердого тела с современной точки зрения A. T. Fomenko Annual scientific conference "Lomonosov Papers" in 2007 April 16, 2007 14:30

Books in Math-Net.Ru

New results in the theory of topological classification of integrable systems, Trudy Mat. Inst. Steklov., 205, ed. A. T. Fomenko, E. F. Mishchenko, 1994, 208 с.
http://mi.mathnet.ru/book1092

Organisations